Finding the Fourth Proportional to 10,189.14, 14,061.59 and 5,714.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,189.14 : 14,061.59 = 5,714.32 : x
2. Step 2: Convert to fraction form
   10,189.14/14,061.59 = 5,714.32/x
3. Step 3: Cross multiply
   10,189.14x = 14,061.59 × 5,714.32
4. Step 4: Simplify right side
   10,189.14x = 80,352,424.97
5. Step 5: Solve for x
   x = 80,352,424.97/10,189.14
6. Step 6: Final answer
   x = 7,886.09